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127632063 = 31319172243
BaseRepresentation
bin1111001101110…
…00001010111111
322220011101021110
413212320022333
5230133211223
620355333103
73106566066
oct746701277
9286141243
10127632063
1166054949
12368b1193
1320599a40
1412d451dd
15b311d93
hex79b82bf

127632063 has 16 divisors (see below), whose sum is σ = 192913280. Its totient is φ = 74408544.

The previous prime is 127632049. The next prime is 127632143. The reversal of 127632063 is 360236721.

It is not a de Polignac number, because 127632063 - 24 = 127632047 is a prime.

It is a super-3 number, since 3×1276320633 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 127632063.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127632023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85381 + ... + 86862.

It is an arithmetic number, because the mean of its divisors is an integer number (12057080).

Almost surely, 2127632063 is an apocalyptic number.

127632063 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

127632063 is a deficient number, since it is larger than the sum of its proper divisors (65281217).

127632063 is a wasteful number, since it uses less digits than its factorization.

127632063 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172278.

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 127632063 is about 11297.4361250684. The cubic root of 127632063 is about 503.4850694766.

Adding to 127632063 its reverse (360236721), we get a palindrome (487868784).

The spelling of 127632063 in words is "one hundred twenty-seven million, six hundred thirty-two thousand, sixty-three".

Divisors: 1 3 13 19 39 57 247 741 172243 516729 2239159 3272617 6717477 9817851 42544021 127632063